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xz_007 [3.2K]
2 years ago
6

X-27 = 7x -15 please show the work, i’ll mark brainliest

Mathematics
2 answers:
viktelen [127]2 years ago
8 0

Answer:

x=-2

Step-by-step explanation:

x-27=7x-15(move variable left hand side /change sign)

x-7x-27=-15

x-7x=-15+27

-6x=-15+27

-6x=12

x=-2

qaws [65]2 years ago
5 0

Answer:

x=-2

Step-by-step explanation:

x-27 = 7x -15

subtract x from both sides

-27=6x-15

add 15 to both sides

-12=6x

divide both sides by 6

-2=x

x=-2

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Solve the system of equations: <br> X+y+z=5<br> -3x-4y+4z=15<br> 2x-y-4z=-8
atroni [7]

Answer:

  (x, y, z) = (3, -2, 4)

Step-by-step explanation:

The attachment shows a solution using a graphing calculator where the first equation is solved for z, and that expression is substituted into each of the other two equations. The solution to that system is (x, y) = (3, -2). Using these values in the expression for z, we find ...

  z = 5 -(3 +(-2)) = 4

The solution is (x, y, z) = (3, -2, 4).

__

Your graphing calculator and/or online tools can give you the reduced row echelon form of the augmented matrix representing the system:

  \left[\begin{array}{ccc|c}1&1&1&5\\-3&-4&4&15\\2&-1&-4&-8\end{array}\right]

__

If you're solving by hand, you can do the substitution described above to eliminate z from one equation. You can eliminate z from another equation by adding the last two:

  -3x -4y +4(5 -x -y) = 15   ⇒   -7x -8y = -5

  (-3x -4y +4z) +(2x -y -4z) = (15) +(-8)   ⇒   -x -5y = 7

This pair of equations can be solved for x and y in any of the usual ways. Using the second equation to substitute for x, for example, gives you ...

  -7(-5y -7) -8y = -5   ⇒   27y = -54   ⇒   y = -2

  x = -5(-2) -7 = 3

  z = 5 -(3) -(-2) = 4

_____

<em>Additional comment</em>

If all that is needed is a solution, we prefer a graphical or matrix approach. These take about the same amount of time. Both require a little additional effort to determine exact values when the solutions are not integers.

6 0
2 years ago
PLZ HELP WILL GIVE BRAINLISET IF RIGHT!!!
Irina-Kira [14]

Answer:

72.5mph

Step-by-step explanation:

There is an easy way to work this. Divide the miles he drove by 2 so that you know how much he drove in 1/5 hours.

29/2= 14.5miles driven in 1/5 hours

Now, just multiply that number by 5 so that you know how many miles he drove in 5/5 hours (one full hour).

14.5*5= 72.5miles

5 0
3 years ago
I need to find the surface area of this
solmaris [256]
We need to find surface area, so we can imagine breaking it up into face net.

There will be 18 × 18 square base, four 18 × 40 rectangles, and four triangles with base 18 and height 13. 

So the surface area would be sum of these areas.

That would be 18×18 + 4( 18 × 40 ) + 4( (1/2) 18×13 ) = <span>3672

Final answer: 3672 m</span>²

Hope this helps.
5 0
3 years ago
Read 2 more answers
***Any links will be reported***<br>****i will mark brainliest****​
Monica [59]

Answer:

hambuger cheesebuger big mac whooper

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
George bought a lawnmower which had a list price of $360. If he got a 20% discount on the purchase, how much did he pay for the
julia-pushkina [17]

Answer:

$288.00

Step-by-step explanation:

$360.00

-

20%

=$288.00

3 0
3 years ago
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